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KENDRIYA VIDYALAY BAIRAGARH HOLIDAY HOME WORK CLASS 10 Chapter 1 1. 2. 3. 7. State the fundamental theorem of Arithmetic. Express 2658 as a product of its prime factors. Show that the every positive even integer is of the form2q and every positive odd integer is of the form2q+1where q is some integer. Use Euclid’s division algorithm to find the HCF of a)1288 and 575 b)867 and 255 Prove that is not a rational number. Find the largest positive integer that will divide 122, 150 and 115 leaving remainder 5, 7 and 11 respectively. Using prime factorization method, find the HCF and LCM of 72, 126 and 168. Also show that 8. Check whether 9. In a school, the duration of a period in junior section is 40 min. and senior section is 1 hour. if first bell for each section rings at 9:00 a.m., when will the two bells rings together again. 4. 5. 6. can end with digit zero for any natural no. n . 10. Find the missing numbers. 2 2 165 Chapter 2 1. Obtain all zeroes of 2. all Obtain other zeroes of 3. On dividing and respectively, find , if two of its zeroes are a polynomial Form a cubic polynomial with zeroes 3, 2 and -1. Hints/Ans. 5. Find the zeroes of the quadratic polynomial between the zeroes and the coefficients. 6. For what value of k, (-4) is a zero of polynomial and ,the quotient and remainder were 4. 7. and verify the relationship Give an example of polynomials 8.Find the zeroes of 9.Find a quadratic polynomial, whose the sum and product of its zeroes are 10. Obtain all other zeroes of , if two of its zeroes are and . 1. Chapter 3 Solve the equation using the method of substitution: 2. Solve the equations: Where, x 3. Solve the equations by using the method of cross multiplication: 4. 5x + 12y =7 For what value of k, will the system of equations has a unique solution. Draw the graphs of the equations 4x – y = 4 4x + y = 12 Determine the vertices of the triangle formed by the lines representing these equations and the xaxis. Shade the triangular region so formed . Solve :+ =4 5. 6. + = -2 7. Ritu can row downstream 20 km in 2 hr , and upstream 4 km in 2 hr . find her speed of rowing in still water and the speed of the current. 8. In a , = 3 , B = 2 ( A + B ) find the these angle. 9. 8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by 1 man alone and that by one boy alone to Finish the work. 10. Find the value of K for which the system of linear equations 2x+5y = 3 , (k +1 )x + 2(k + 2) y = 2K Will have infinite number of solutions. 11. learn table 1 to20. Squares 1 to 30 .cubes 1 to 15.